Given 36 − 9, simplify the expression using the Difference of Squares.

Wait, wait. I know what you are saying. 36 − 9 is not exactly a difficult math problem, it is 27. Yes you are correct; however, 36 − 9 is going to serve as a proof that the Difference of Squares is valid regardless of what x and y are.

36 − 9

62 − 32

This looks exactly like the Difference of Squares, x2 − y2. So substitute 6 and 3 in for x and y.

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Using formula

x^2 - y^2 = (x + y)(x - y)

Applying to given expression

36 - 9 = 6^2 - 3^2=(6 + 3)(6 - 3)=9*3=27

Related Questions

can someone answer plzzzz

Answers

Answer:

6,882,000 miles

Step-by-step explanation:

Does anyone know this answer

Answers

2. Square root of 112

find the perimeter of a circle whose diameter is 12.6 cm please help and show working​

Answers

Do you mean the circumference? You can’t find the perimeter of a circle. The circumstance of the circle is 39.584 to 3dp.

Answer:

39.584034 cm

Step-by-step explanation:

Firstly find the radius, 6.3 cm. Then plug into the formula, 2πr.

I used 3.14159 as pi.

work:

2 * 3.14159 * 6.3

6.28318 * 6.3

39.584034

[tex]4=\frac{6}{a}x+5[/tex]

Answers

What exactly is it asking for you to do?

Please answer this correctly without making mistakes

Answers

Answer:

This is what internet says. Maybe this helps.

Can someone plz plz help me with the last 2 problems #5 and #6

Answers

i believe your answers would be

1/2c+7 and 2H-9

A human head weighs 160 ounces. What is that weight in kilograms? Analyze the work below what is the students error?

Answers

Answer:

Well the weight is

Step-by-step explanation:

4.53592 kilos

Answer:

  4.535924 kilograms

Step-by-step explanation:

1 ounce = 0.02834952 kilogram

160 * 0.02834952  = 4.535924

5. A Ferrari gets 14 miles per gallon of gas. Gas costs $3.18 per gallon. If the Ferrari's gas
tank holds nineteen gallons, and assuming the tank was empty, how much would it cost to fill
the tank and how far could the Ferrari go before it ran out of fuel?

Answers

Answer:

44.52

Step-by-step explanation

what is the value of x
х = 0/4​

Answers

Answer:

0

Step-by-step explanation:

0 divided by anything is 0

It’s zero. Even if u look at the graph its zero

Let z = 1 + 3i and w = -3 - 4i.
Use the drop down menus to complete the statements.
The sum z + w is equal to - -i
The sum w + z is equal to - 2 - i
The result supports that complex number addition is

Answers

Step-by-step explanation:

z+w= 1+3i-3-4i = -2-i

w+z=-3-4i+1+3i = -2-i

So, z+w = w+z

So, complex number addition is commutative

If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.

What is commutativity property of addition?

We are aware that the addition's commutative property states that altering the addends' order will not affect the sum.

How to solve it ?

Here z = 1 + 3i and w = -3 - 4i.

Now, z + w = 1 + 3i - 3 - 4i = 1 - 3 + 3i - 4i = - 2 - i

and w + z = - 3 - 4i + 1 + 3i = - 3 + 1 - 4i + 3i = - 2 - i

i.e. z + w = w + z

Clearly, the addition obeys the commutative property.

Therefore we can conclude that If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.

Learn more about the commutative property here -

https://brainly.com/question/23736946

#SPJ2

Solve for a.

a+(−5)=−12

Answers

a = - 7
the equation is basically a - 5 = - 12 so u need to bring the five to the other side making it positive and add it to - 12

Is 60N Cold or hot

Answers

Answer:

It is warm.

Step-by-step explanation:

Which is the best description for the graph?

Answers

Answer:

decreasing, then increasing. the parabola decreases as it approaches the vertex, then increases afterward

Solve the formula d = rt for t.
A. t=d/r
B. t= rd
c. t= r/d
D. t= d-r

Answers

It’s A t=d/r

Steps
Dr=t swap the sides
T=dr

Answer:

A,t=d/r

Step-by-step explanation:

if d=rt t=?

d/r=rt/r (to get alone t we devided by r on both sides)

d/r=t

i think it is clear

&i hope it helps you

5 + 5 + 5 + 5 + 220+ 30004

Answers

Answer:

30244

Step-by-step explanation:

Can y’all help plzzzzz

1.
m
In the figure below, m||n. Match the angle pairs with the
correct label for the pairs.
A. 24 and 26
a.
Corresponding Angles
HA
B. 25 and 28
b.
?
Same-Side Interior Angles
C. Z2 and 26
c.
?
Alternate Interior Angles
D. 24 and 25
d. ?
Vertical Angles

Answers

Answers
A- B
B-D
C-A
D-C

The matching is as follows:

1. <4 and <6 ------> same- side interior angle

2. <5 and <6 ------> vertical angles

3. <2 and <6  ------> corresponding angle.

4. <4 and <5  ------> alternate interior angle

What are properties of parallel lines?

Properties of Parallel Lines

The pairs of corresponding angles are equal.The pairs of vertically opposite angles are equal.The pairs of alternate interior angles are equal.The pairs of alternate exterior angles are equal.

Now, from the figure

1. <4 and <6 shows the relationship of same- side interior angle

2. <5 and <6 shows the relation of vertical angles

3. <2 and <6 shows the relation of corresponding angle.

4. <4 and <5 shows the relation of alternate interior angle

Learn more about parallel line here:

https://brainly.com/question/16701300

#SPJ2

In order to test for the significance of a regression model involving 5 independent variables and 123 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

Answers

Answer: The numerator and denominator degrees of freedom (respectively) for the critical value of F are 4 and 118 .

Step-by-step explanation:

We know that , for critical value of F, degrees of freedom for numerator = k-1

and for denominator = n-k, where n= Total observations and k = number of independent variables.

Here, Numbers of independent variables(k) = 5

Total observations (n)= 123

So, Degrees of freedom for numerator  = 5-1=4

Degrees of freedom for denominator =123-5= 118

Hence, the numerator and denominator degrees of freedom (respectively) for the critical value of F are 4 and 118 .

Who likes sushi?!?!?!

Answers

Answer:

I do :)

Step-by-step explanation:

Lol I usually get the crunchy roll

What is:

6t-2/4 + 4 (t+1) when t=5

Answers

Answer:

2 /20t+7

​  

 

Step-by-step explanation:

6t-2/4+4(t+1). (Value of t=5)
=> 39.5

Please help me with this one

Answers

what is the question

In the figure, mZ2 = 3(x+15) and m23 = 24°. Find x.
3
5
6
8

Answers

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*(x+15)*23-(24)=0  

Step by step solution :

STEP

1

:

Equation at the end of step 1

 (3 • (x + 15) • 23) -  24  = 0  

STEP

2

:

Equation at the end of step 2

 69 • (x + 15) -  24  = 0  

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  69x + 1011  =   3 • (23x + 337)  

Equation at the end of step

4

:

 3 • (23x + 337)  = 0  

STEP

5

:

Equations which are never true

5.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.2      Solve  :    23x+337 = 0  

Subtract  337  from both sides of the equation :  

                     23x = -337

Divide both sides of the equation by 23:

                    x = -337/23 = -14.652

Step-by-step explanation:

Last month, Carter earned $165 for his after-school job. If he was paid $8.25 per hour, how many hours did Carter work?

Answers

Answer:

20

Step-by-step explanation:

165 divided by 8.25 is 20.

Answer:

20 hrs

Step-by-step explanation:

Just divide $165 by $8.25

Hope this helps!

what is th nth term of 4 1 -2 -5 -8​

Answers

Answer:

-3

Step-by-step explanation:

Answer:

here:- a=4; d:- (1-4)=(-2-1)=>-3

so, nth term= a+(n-1)d

=> 4+(n-1)-3=>4-3n+3=>7-3n

Step-by-step explanation:

nth term=(7-3n)

Solve the following 3x + 7 = 2x + 13 over 3

Answers

Answer:

3x+7=2x+13 over 3

3 (3x )+3 (7)=2x +13 over 3×3

9x+21=2x +13

9x- 2x=13-21

7x=-8

x=8/7

Step-by-step explanation:

Step 1:Multiply both sides by the denominator

Step 3:Group like terms

Step 5: Divide both sides to find for x

If Jan is 3 years older now than Dale was 2 years ago, then Jan is how many older than Dale is right now.
A) 1 year
B) 2 years
C) 3 years
D) 5 years​

Answers

the answer is a (1 year)

The rule (x, y)→(x−1, y-3) represents a translation 1 unit ____ and 3 units ____

Answers

Answer: left, down

Hope this helps.

PLEASE HELP WITH THIS WILL GET EXTRA POINTS

Answers

Answer:

1.2

2.4

3.6

4.8

5.9

6.4

7.3

8.6

Step-by-step explanation:

What is the sum of the expression (8- 4 i) + (-2+7i)?

Answers

Answer:

The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)

Step-by-step explanation:

In the complex numbers (a + bi) and (c + di), we can add the real parts together and the imaginary parts together, so their sum is

(a + bi) + (c + di) = (a + c) + (b + d)i

Let us use this fact to solve our question

∵ The complex numbers are (8 - 4i) and (-2 + 7i)

∴ Their sum = (8 - 4i) + (-2 + 7i)

∵ The real parts are 8 and -2

∵ 8 + -2 = 8 - 2 = 6

The sum of the real parts is 6

∵ The imaginary parts are -4i and 7i

∵ -4i + 7i = 3i

The sum of the the imaginary parts is 3i

∵ (8 - 4i) + (-2 + 7i) = (8 - 2) + (-4 + 7)i

∴ (8 - 4i) + (-2 + 7i) = 6 + 3i

The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)

You need to purchase supplies for building a backyard deck. Your boss gives you the supply list and asks that you get the best deal by buying from either True Builder or Quality Supplies. You call both stores, and they provide the price information that you put into the table below. Which store provides the lowest total cost, and what is the cost without sales tax?

Answers

Answer:

a) The store which provides the lowest total costs is:

True Builders

b) The cost without sales tax is:

$407.48

Step-by-step explanation:

Data and Calculations:

Product                Quantity       True Builders               Quality Suppliers

                                               Price          Costs             Price          Costs

Bricks                      120        $2.20       $264.00         $2.25      $270.00

2 x 4 boards            40 ft     $0.75            30.00         $0.70           28.00

1 x 6 boards           120 ft     $0.60            72.00         $0.65           78.00

2 x 6 boards           30 ft     $0.80            24.00         $0.80           24.00

Paint                        2 gal.    $15.50           31.00         $11.25          22.50

Paint Brushes         2           $7.50            15.00          $9.75           19.50

Total costs                                           $436.00                          $442.00

Imputed Sales Tax of 7%                        28.52                              28.92

Without Sales Tax                              $407.48                           $413.08

Answer:

Quality Supplies 442.00

Step-by-step explanation:

the of a rectangle is 42 square centimeters .it lenngth is 7 centimeters . what is the width of the rectangle

Answers

Answer:

6 centimeters

Step-by-step explanation:

Area = Length * Width

42 = 7 * Width

Width = 42/7

Width = 6 centimeters

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